164436480 has 400 divisors, whose sum is σ = 644661864. Its totient is φ = 39813120.

The previous prime is 164436479. The next prime is 164436511. The reversal of 164436480 is 84634461.

164436480 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 110502144 = 7344^2 + 10512^2 .

It is a super-3 number, since 3×164436480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695650 + ... + 2695710.

Almost surely, 2^164436480 is an apocalyptic number.

164436480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322330932).

164436480 is an abundant number, since it is smaller than the sum of its proper divisors (480225384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164436480 is an equidigital number, since it uses as much as digits as its factorization.

164436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 164436480 is about 12823.2788318745. The cubic root of 164436480 is about 547.8555393808.

The spelling of 164436480 in words is "one hundred sixty-four million, four hundred thirty-six thousand, four hundred eighty".